Billions of people still live with large gaps in income, health, technology and public services. Closing those gaps is the central task of this century, and doing it without wrecking the climate, the air and the systems everyone depends on is the second. This report argues that the two must be answered together and gives the combined answer a name: Sustainable Convergence, a concept developed by Hunter Hughes, Founder of H Heuristics. It defines Sustainable Convergence as the process through which emerging and developing economies progressively narrow economic, technological, institutional and human-development gaps with advanced economies while pursuing environmentally sustainable, socially inclusive and systemically resilient development pathways, and it relates the concept to the companion concept of Polycrisis Resilience.
The report sets out a seven-dimension framework (economic, environmental, technological, human-development, infrastructure, institutional and resilience convergence) and measures the record since 2000 with public data for more than 200 economies, separating absolute improvement from true convergence. It examines the mechanisms that make clean catch-up possible — cheaper clean technology, leapfrogging in energy, clean cooking, digital public infrastructure and clean industrialisation, and a compounding flywheel across dimensions — and introduces an H Heuristics Sustainable Convergence Index that scores 184 economies. It then applies the framework to five regions, identifies the barriers (the cost of capital, debt, premature deindustrialisation, technology concentration, political economy and climate damage), models three scenarios to 2100 and sets out a strategy and research agenda.
The central findings are that catch-up has happened but unevenly, that it has so far mostly followed the old carbon-heavy path, and that the route decides the climate. If the Global South closes its income gap at about 2 per cent a year, its income reaches roughly 74 per cent of the high-income level by 2100. On a fossil path that implies about 3,084 billion tonnes of world CO2 to 2100, nearly three times the 2°C budget; on a sustainable path with the same income gains the total is about 819 billion tonnes, within it. The report treats these as scenarios, not forecasts, and notes that the 1.5°C budget is almost exhausted on any path.